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Finding the Fourth Proportional to 2,627.28, 3,940.11 and 895.50

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Solution

The fourth proportional to 2,627.28, 3,940.11 and 895.50 is: 1,342.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,627.28 : 3,940.11 = 895.50 : x
  2. Step 2: Convert to fraction form
    2,627.28/3,940.11 = 895.50/x
  3. Step 3: Cross multiply
    2,627.28x = 3,940.11 × 895.50
  4. Step 4: Simplify right side
    2,627.28x = 3,528,368.51
  5. Step 5: Solve for x
    x = 3,528,368.51/2,627.28
  6. Step 6: Final answer
    x = 1,342.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.